Assume that you have a sample of n 1 equals 8​, with the samplemean Upper X overbar 1 equals 42​, and a sample standard deviationof Upper S 1 equals 4​, and you have an independent sample of n 2equals 15 from another population with a sample mean of Upper Xoverbar 2 equals 34 and a sample standard deviation of Upper S 2equals 5. What assumptions about the two populations are necessaryin order to perform the​ pooled-variance t test for the hypothesisUpper H 0 : mu 1 equals mu 2 against the alternative Upper H 1 : mu1 greater than mu 2 and make a statistical​ decision?
